Hadamard Matrices related to Projective Planes

IF 0.7 4区数学 Q2 MATHEMATICS

Electronic Journal of Combinatorics Pub Date : 2023-06-30 DOI:10.37236/11990

Hadi Kharaghani, Sho Suda

引用次数: 0

Abstract

Let $n$ be the order of a quaternary Hadamard matrix. It is shown that the existence of a projective plane of order $n$ is equivalent to the existence of a balancedly multi-splittable quaternary Hadamard matrix of order $n^2$.

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与射影平面相关的阿达玛矩阵

设n是一个四元阿达玛矩阵的阶。证明了n阶投影平面的存在性等价于n^2阶平衡多重可分的四元哈达玛矩阵的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Journal of Combinatorics 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

212

审稿时长

3-6 weeks

期刊介绍： The Electronic Journal of Combinatorics (E-JC) is a fully-refereed electronic journal with very high standards, publishing papers of substantial content and interest in all branches of discrete mathematics, including combinatorics, graph theory, and algorithms for combinatorial problems.